Theory and Modern Applications
From: Hexagonal grid approximation of the solution of the heat equation on special polygons
(h,τ) | \(\mathrm{CT}^{Ex1}\) | \(\Vert \varepsilon _{\mathrm{Par}}^{Ex1(h,\tau )} \Vert _{\infty }\) | \({}_{4}\Re _{\mathrm{Par}}^{Ex1}\) | \(\mathrm{CT}^{Ex2}\) | \(\Vert \varepsilon _{\mathrm{Par}}^{Ex2(h,\tau )} \Vert _{\infty }\) | \({}_{4}\Re _{\mathrm{Par}}^{Ex2}\) |
---|---|---|---|---|---|---|
(2−4,2−6) | neg | 5.25821E-4 | 3.963 | 0.02 | 4.35263E-3 | 3.981 |
(2−5,2−10) | 0.03 | 3.37165E-5 | 3.998 | 0.06 | 2.75544E-4 | 3.999 |
(2−6,2−14) | 0.17 | 2.11066E-6 | 4.000 | 0.30 | 1.72353E-5 | 4.000 |
(2−7,2−18) | 1.19 | 1.31906E-7 | 4.000 | 1.81 | 1.07708E-6 | 4.000 |
(2−8,2−22) | 3.98 | 8.24304E-9 | 4.78 | 6.73085E-8 |